Question

выполнить деление:
(x+y)2/(x+y)2-(x-y)2/(x/y-y/x)

Answer 1

$frac{(x+y)^2}{(x+y)^2}-frac{(x-y)^2}{(frac{x}{y}-frac{y}{x})}=1-frac{(x-y)^2}{(frac{x^2-y^2}{xy})}=1-frac{(x-y)^2*xy}{(x-y)(x+y)}=1-frac{(x-y)*xy}{x+y}=\=frac{x+y-x^2y+xy^2}{x+y}$